101005560 has 96 divisors (see below), whose sum is σ = 337184640. Its totient is φ = 26203392.

The previous prime is 101005549. The next prime is 101005603. The reversal of 101005560 is 65500101.

101005560 is a `hidden beast` number, since 1 + 0 + 100 + 5 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9529 + ... + 17111.

It is an arithmetic number, because the mean of its divisors is an integer number (3512340).

Almost surely, 2^101005560 is an apocalyptic number.

101005560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101005560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168592320).

101005560 is an abundant number, since it is smaller than the sum of its proper divisors (236179080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101005560 is a wasteful number, since it uses less digits than its factorization.

101005560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7637 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101005560 is about 10050.1522376529. The cubic root of 101005560 is about 465.7094961592.

Adding to 101005560 its reverse (65500101), we get a palindrome (166505661).

The spelling of 101005560 in words is "one hundred one million, five thousand, five hundred sixty".